Question

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8

Answer 1

Answer:

$y = 4x - 5$

Step-by-step explanation:

rewrite the equation

$x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2$

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

$3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5$